Contraction of convex hypersurfaces in Riemannian spaces
From MaRDI portal
Publication:1327448
DOI10.4310/jdg/1214454878zbMath0797.53044OpenAlexW1577634575WikidataQ115179761 ScholiaQ115179761MaRDI QIDQ1327448
Publication date: 18 July 1994
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214454878
evolution equationWeingarten curvatureharmonic mean curvature flow1/4-pinching sphere theoremdeformation of hypersurfaces
Related Items (max. 100)
Contraction of convex hypersurfaces in Euclidean space ⋮ Locally constrained curvature flows and geometric inequalities in hyperbolic space ⋮ Harnack inequalities for evolving hypersurfaces ⋮ The harmonic mean curvature flow of nonconvex surfaces in \({\mathbb{R}^3}\) ⋮ Uniqueness of convex ancient solutions to hypersurface flows ⋮ Unnamed Item ⋮ Infinitesimally affine deformations of a hypersurface ⋮ Curvature flow in hyperbolic spaces ⋮ Convexity estimates for hypersurfaces moving by concave curvature functions ⋮ Kinematics of hypersurfaces in Riemannian manifolds ⋮ Contracting axially symmetric hypersurfaces by powers of the \(\sigma_k\)-curvature ⋮ A fully nonlinear flow for two-convex hypersurfaces in Riemannian manifolds ⋮ Geometric inequalities for static convex domains in hyperbolic space ⋮ New pinching estimates for inverse curvature flows in space forms ⋮ Rigidity of nonpositively curved manifolds with convex boundary ⋮ Shifted inverse curvature flows in hyperbolic space ⋮ Poincaré type inequality for hypersurfaces and rigidity results ⋮ Mean curvature flow with free boundary outside a hypersphere ⋮ On the mean curvature flow of submanifolds in the standard Gaussian space ⋮ Harmonic mean curvature flow and geometric inequalities ⋮ Geometric inequalities for hypersurfaces with nonnegative sectional curvature in hyperbolic space ⋮ Surfaces expanding by non-concave curvature functions ⋮ Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery ⋮ The mean curvature flow in Minkowski spaces ⋮ Flow of pinched convex hypersurfaces by powers of curvature functions in hyperbolic space ⋮ Contraction of surfaces in hyperbolic space and in sphere ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ Highly degenerate harmonic mean curvature flow ⋮ Contracting convex hypersurfaces in space form by non-homogeneous curvature function ⋮ The blow-up of the conformal mean curvature flow ⋮ Inverse curvature flows of rotation hypersurfaces ⋮ Evolving to non-round Weingarten spheres: integer linear Hopf flows ⋮ Nonhomogeneous inverse Gauss curvature flow in ℍ³ ⋮ Locally constrained inverse curvature flows ⋮ Mixed volume preserving curvature flows ⋮ Mixed volume preserving flow by powers of homogeneous curvature functions of degree one ⋮ Curvature contraction flows in the sphere ⋮ Gaussian Mean Curvature Flow for Submanifolds in Space Forms ⋮ A representation formula for the inverse harmonic mean curvature flow ⋮ On singular Yamabe obstructions
This page was built for publication: Contraction of convex hypersurfaces in Riemannian spaces
